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45629395328808 = 23325311957388713
BaseRepresentation
bin10100101111111111010111…
…11001100101111100101000
312222120010110000101121122200
422113333223321211330220
521440043000201010213
6241013504351020200
712416420644610034
oct1227775371457450
9188503400347580
1045629395328808
11135a235511a7a5
12514b34820a660
131c5caab30b4c5
14b3a69010d1c4
15541dd2c93273
hex297febe65f28

45629395328808 has 48 divisors (see below), whose sum is σ = 125911303158420. Its totient is φ = 14922821112576.

The previous prime is 45629395328807. The next prime is 45629395328813. The reversal of 45629395328808 is 80882359392654.

45629395328808 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 9 + 3 + 9 + 532 + 8 + 80 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45548488077444 + 80907251364 = 6748962^2 + 284442^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45629395328807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5978690541 + ... + 5978698172.

Almost surely, 245629395328808 is an apocalyptic number.

It is an amenable number.

45629395328808 is an abundant number, since it is smaller than the sum of its proper divisors (80281907829612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45629395328808 is a wasteful number, since it uses less digits than its factorization.

45629395328808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11957388778 (or 11957388771 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 45629395328808 in words is "forty-five trillion, six hundred twenty-nine billion, three hundred ninety-five million, three hundred twenty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 11957388713 23914777426 35872166139 47829554852 71744332278 95659109704 107616498417 143488664556 215232996834 286977329112 430465993668 633741601789 860931987336 1267483203578 1901224805367 2534966407156 3802449610734 5069932814312 5703674416101 7604899221468 11407348832202 15209798442936 22814697664404 45629395328808